A man on a bicycle stands in front of an electronic board showing Shanghai stock index, Nikkei share price index and Dow Jones Industrial Average outside a brokerage in Tokyo By Tom Westbrook SINGAPORE (Reuters) - Asian shares rose on Thursday on investor hopes for China's emergence from the COVID-19 pandemic, while the dollar stayed under pressure even as the U.S. Federal Reserve had a warning against market bets on interest rate cuts this year. MSCI's broadest index of Asia-Pacific shares outside Japan rose 1% to touch a four-month high in morning trade. Japan's Nikkei bounced off a three-month low....